数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1347-1356.doi: 10.1016/S0252-9602(11)60321-4

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COMPACT COMPOSITION OPERATORS ON GENERALIZED LIPSCHITZ SPACES

戴济能1,2, 欧阳才衡2   

  1. 1. School of Science, Hubei Province Key Laboratory of Intelligent Robot, Wuhan Institute of Technology, Wuhan 430074, China
    2. Wuhan Institute of Physics and Mathematics, the Chinese Academy of Science, Wuhan 430071, China
  • 收稿日期:2009-09-23 出版日期:2011-07-20 发布日期:2011-07-20
  • 基金资助:

    Supported in part by the National Natural Science Foundation of China (10971219).

COMPACT COMPOSITION OPERATORS ON GENERALIZED LIPSCHITZ SPACES

 DAI Ji-Neng1,2, OUYANG Cai-Heng2   

  1. 1. School of Science, Hubei Province Key Laboratory of Intelligent Robot, Wuhan Institute of Technology, Wuhan 430074, China
    2. Wuhan Institute of Physics and Mathematics, the Chinese Academy of Science, Wuhan 430071, China
  • Received:2009-09-23 Online:2011-07-20 Published:2011-07-20
  • Supported by:

    Supported in part by the National Natural Science Foundation of China (10971219).

摘要:

In this paper, boundedness and compactness of the composition operator on the generalized Lipschitz spaces  ( > 1) of holomorphic functions in the unit disk are characterized.

关键词: composition operator, Lipschitz space, Bloch-type space, angular derivative

Abstract:

In this paper, boundedness and compactness of the composition operator on the generalized Lipschitz spaces  ( > 1) of holomorphic functions in the unit disk are characterized.

Key words: composition operator, Lipschitz space, Bloch-type space, angular derivative

中图分类号: 

  • 47B33